Use our free GCF of Fractions Calculator tool to compute the GCF of 856/109, 629/872 i.e 1/872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/109, 629/872.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 856/109,629/872
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 856/109,629/872, numerators are 856,629
Denominators are 109,872
The GCF of 856,629 is 1 .
LCM of 109,872 is 872.
The greatest common factor of 856/109,629/872 = [GCF of 856,629]/[LCM of 109,872]= 1/872
Therefore, the GCF of 856/109,629/872 is 1/872.
To find the highest common factor of 856,629, we have to find the factors of both numbers and list the highest common factor.
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 629 are 1, 17, 37, 629
The HCF of 856,629 is 1.
Lets's calculate GCF of 856,629
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 629
:1,17,37,629
Greatest Common Factor
We found the factors 856,629 . The biggest common factor number is the GCF number.
So the greatest common factor 856,629 is 1.
Lets's calculate LCM of 109,872
109 | 109, 872 |
1, 8 |
∴ So the LCM of the given numbers is 109 x 1 x 8 = 872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/872
Therefore, the GCF of Fractions 856/109,629/872 is 1/872
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 109,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,872) = 109
common factors(in case of two or more numbers have common factors) = 1
GCF(109,872) x common factors =109 x 1 = 109
LCM(109,872) = ( 109 × 872 ) / 109
LCM(109,872) = 95048 / 109
LCM(109,872) = 872
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 856,629?
The HCF of 856,629 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 856/109, 629/872?
Answer: GCF of Numerators as per given numbers 856/109, 629/872 is
GCF of Numerators i.e. for 856,629 is 1
LCM of denominators i.e. for 109,872 is 872.
Thus, GCF of Fractions is 1/872.Finally, GCF of Fractions for 856/109, 629/872 is 1/872.